Question

When the volume of a gas is changed from 524 cm^3 to ____ cm^3, the temperature will change from 491 K to 297 K .

Answer 1

V1/T1=V2/T2
524 cm^3/491 K =V2/297K

V2=(524 cm^3*297K)/491 K= 317K

Answer 2

Answer : The final volume of a gas is, $316.96cm^3$

Explanation :

According to the Charles's law, the volume of a gas is directly proportional to the temperature of the gas at constant pressure and the number of moles of gas.

$V\propto T$

or,

$\frac{V_1}{V_2}=\frac{T_1}{T_2}$

where,

$V_1$ = initial volume of gas = $524cm^3$

$V_2$ = final volume of gas = ?

$T_1$ = initial temperature of gas = 491 K

$T_2$ = final temperature of gas = 297 K

Now put all the given values in the above formula, we get the final volume of a gas.

$\frac{524cm^3}{V_2}=\frac{491K}{297K}$

$V_2=316.96cm^3$

Therefore, the final volume of a gas is, $316.96cm^3$